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Young's modulus from an extension-load graph

This type of question, asked 3 times: 27 Jul 2022, 25 Jan 2023, 6 Apr 2026 S2. All 3 questions below, oldest first.

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  1. Question 1

    27 Jul 2022

    111
    In an experiment to determine the Young's modulus, steel wires of five different lengths (1,2,3,4(1,2,3,4 and 5 m)5\text{ }m) but of same cross section (2 mm2)\left( 2{\text{ }mm}^{2} \right) were taken and curves between extension and load were obtained. The slope (extension/load) of the curves were plotted with the wire length and the following graph is obtained. If the Young's modulus of given steel wires is x×1011Nm−2x \times10^{11}Nm^{- 2}, then the value of xx is ____\_\_\_\_.

  2. Question 2

    25 Jan 2023

    23
    As shown in the figure, in an experiment to determine Young's modulus of a wire, the extension-load curve is plotted. The curve is a straight line passing through the origin and makes an angle of 45∘45^{\circ} with the load axis. The length of wire is 62.8 cm62.8\text{ }cm and its diameter is 4 mm4\text{ }mm. The Young's modulus is found to be x×104Nm−2x \times10^{4}Nm^{- 2}. The value of xx is____

  3. Question 3

    6 Apr 2026 S2

    8
    Figure represents the extension ( Δl\Delta l ) of a wire of length 1 meter, suspended from the ceiling of the room at one end with load W connected to the other end. If the cross- sectional area of the wire is 10−5 m210^{- 5}{\text{ }m}^{2} then the Young's modulus of the wire is ____\_\_\_\_ N/m2N/m^{2}.

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